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Finding the Third Proportional to 333,178 and 474,844

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Solution

The third proportional to 333,178 and 474,844 is: 676,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,178 : 474,844 = 474,844 : x
  2. Step 2: Convert to fraction form
    333,178/474,844 = 474,844/x
  3. Step 3: Cross multiply
    333,178x = 474,844 × 474,844
  4. Step 4: Simplify right side
    333,178x = 225,476,824,336
  5. Step 5: Solve for x
    x = 225,476,824,336/333,178
  6. Step 6: Final answer
    x = 676,745.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.